Information order in monotone decision problems under uncertainty

Jian Li and Junjie Zhou

ISU General Staff Papers from Iowa State University, Department of Economics

Abstract: This paper examines the robustness of Lehmann’s ranking of experiments (Lehmann, 1988) for decisionmakers who are uncertainty-averse à la Cerreia- Vioglio et al. (2011). We show that, assuming commitment, for all uncertaintyaverse indices satisfying some mild assumptions, Lehmann’s informativeness ranking is equivalent to the induced uncertainty-averse value ranking of experiments for all agents with single-crossing vNM utility indices (Theorem 1). Moreover, Lehmann ranking can also be detected by varying the uncertainty-averse indices for a fixed finite collection of vNM utility indices (Theorem 2). Our findings suggest that Lehmann’s ranking can be a useful enrichment of Blackwell’s ranking for monotone decision problems even if ambiguity is present. We apply our results to social aggregation of information preferences and investment decision problems.

Date: 2019-07-02
New Economics Papers: this item is included in nep-mic and nep-upt
References: Add references at CitEc
Citations:

Downloads: (external link)
https://dr.lib.iastate.edu/server/api/core/bitstre ... 2b13f08b03f1/content
Our link check indicates that this URL is bad, the error code is: 403 Forbidden

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:isu:genstf:201907020700001077

Access Statistics for this paper

More papers in ISU General Staff Papers from Iowa State University, Department of Economics Iowa State University, Dept. of Economics, 260 Heady Hall, Ames, IA 50011-1070. Contact information at EDIRC.
Bibliographic data for series maintained by Curtis Balmer ().